In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved...
8 KB (1,185 words) - 18:50, 26 January 2024
Evgeny Margulis (born 1955), Russian musician Grigory Margulis (born 1946), Russian mathematician, known for the Margulis lemma Lynn Margulis (1938–2011)...
1 KB (169 words) - 14:28, 26 February 2024
Abhyankar's lemma Fundamental lemma (Langlands program) Five lemma Horseshoe lemma Nine lemma Short five lemma Snake lemma Splitting lemma Yoneda lemma Matrix...
8 KB (524 words) - 11:06, 2 August 2024
Geodesic deviation equation Jacobi field Riemannian symmetric space Margulis lemma Space form Constant curvature taut submanifold Uniformization theorem...
8 KB (679 words) - 11:05, 12 February 2024
manifolds. Hyperbolic 3-manifold Hyperbolic space Hyperbolization theorem Margulis lemma Normally hyperbolic invariant manifold Kapovich, Michael (2009) [2001]...
6 KB (680 words) - 02:46, 5 July 2023
The proof works by replaying the proofs of the Bieberbach theorem and Margulis lemma. Gromov's proof was given a careful exposition by Peter Buser and Hermann...
48 KB (3,749 words) - 15:07, 24 June 2024
stability and the noise sensitivity, as before. The Russo–Margulis formula (also called the Margulis–Russo formula) states that for monotone Boolean functions...
30 KB (5,356 words) - 04:30, 2 May 2024
proven in the 1960s by David Kazhdan and Grigory Margulis. The formal statement of the Kazhdan–Margulis theorem is as follows. Let G {\displaystyle G} be...
8 KB (998 words) - 18:49, 26 January 2024
great use in the fields of combinatorics and geometric group theory. Margulis lemma Ballmann, Werner (1995). Lectures on spaces of nonpositive curvature...
5 KB (660 words) - 17:40, 29 January 2024
the geometry is entirely determined by the parabolic element. The Margulis lemma is a qualitative generalisation to more general spaces of negative curvature...
3 KB (318 words) - 10:22, 1 June 2024
Expander graph (section Margulis–Gabber–Galil)
on λi for i ≠ 1 is useful many contexts, including the expander mixing lemma. Spectral expansion can be two-sided, as above, with max i ≠ 1 | λ i | ≤...
38 KB (5,147 words) - 10:56, 25 June 2024
travel to the congress in Nice to receive his medal. In 1978, Grigory Margulis, because of restrictions placed on him by the Soviet government, was unable...
90 KB (4,940 words) - 06:18, 4 July 2024
Representation theory, Category theory, Kazhdan-Lusztig conjecture, Kazhdan-Margulis theorem, Kazhdan property (T). Held MacArthur Fellowship, Israel Prize...
17 KB (1,662 words) - 04:41, 10 June 2024
coupling inequality, of the blowing-up lemma, published in 1986. This result, which arose out of work of Grigory Margulis in 1974 and which was developed further...
15 KB (1,351 words) - 14:56, 12 June 2024
groups and more generally lattices in Lie groups (for example through Margulis' superrigidity theorem and other rigidity results). Hall (2015) Rossmann...
12 KB (1,548 words) - 20:08, 3 November 2023
relevant to these results. Lubotzky, Phillips and Sarnak and independently Margulis showed how to construct an infinite family of ( p + 1 ) {\displaystyle...
19 KB (2,689 words) - 01:42, 4 January 2024
results of Borel, Harish-Chandra, Mostow, Tamagawa, M. S. Raghunathan, Margulis, Zimmer obtained from the 1950s through the 1970s provided examples and...
15 KB (1,576 words) - 19:04, 13 July 2024
conjecture on the dimension of an attractor in terms of its Lyapunov exponents Margulis conjecture – measure classification for diagonalizable actions in higher-rank...
190 KB (19,544 words) - 09:04, 19 August 2024
List of disproved mathematical ideas List of unsolved problems List of lemmas List of theorems List of statements undecidable in ZFC Weisstein, Eric W...
36 KB (1,566 words) - 06:04, 20 July 2024
Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...
204 KB (22,836 words) - 11:50, 17 August 2024
Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...
94 KB (9,592 words) - 11:51, 17 August 2024
in God?" Venter replied, "No. The universe is far more wonderful." Lynn Margulis; Dorion Sagan (2000). What Is Life?. University of California Press. p...
228 KB (28,258 words) - 06:24, 15 August 2024
Alex Eskin Hillel Furstenberg Anatole Katok Elon Lindenstrauss Gregory Margulis Shahar Mozes Hee Oh Kannan Soundararajan Masaki Tsukamaoto Benjamin Weiss...
7 KB (152 words) - 19:25, 27 April 2024